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Finding the Fourth Proportional to 580.48, 800.76 and 470.08

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Solution

The fourth proportional to 580.48, 800.76 and 470.08 is: 648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.48 : 800.76 = 470.08 : x
  2. Step 2: Convert to fraction form
    580.48/800.76 = 470.08/x
  3. Step 3: Cross multiply
    580.48x = 800.76 × 470.08
  4. Step 4: Simplify right side
    580.48x = 376,421.26
  5. Step 5: Solve for x
    x = 376,421.26/580.48
  6. Step 6: Final answer
    x = 648.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.